Elementary Algebra |
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a³b addition algebraical fractions Answers antecedent arithmetical progression arithmetical proportion arranged according ARTICLE binomial called coefficient Compendium of Ancient consequently Corollary divided dividend division divisor dollars engraved illustrations equa example exponent expression extraction of roots formation of powers frac geometrical proportion Georgetown College given equation given fractions given number given polynomials Given terms hence infer instance likewise M. J. KERNEY m³n manner merator multi multiplicand multiplied negative terms nomials nth root number added numerator and denominator numerical fraction numerical value obtained operation positive terms Powers and Extraction preceding Problem quadratic equations quotient radical sign reduced represent resolution resolved rule Rule of signs second degree second member second ratio second term similar terms square root substituting subtracted sum or difference Suppose tion unknown quantity whole number write
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Page 57 - By examining the above examples, it will be found that this purpose is effected, by multiplying the numerator of the dividend by the denominator of the divisor, and the denominator of the dividend by the numerator of the divisor.
Page 72 - Since the square of a binomial is equal to the square of the first term, plus twice the product of the first term by the second, plus the square of the second ; if...
Page 5 - The beginner will here be furnished with such proofs as are suited to his capacity ; examples will afford new light to what might be otherwise obscure ; with regard to the operations founded on higher principles he will, for the present, content himself with merely practical rules, exemplified in the same manner. With a mind thus gradually led on to strict mathematical discussion, he may then resume his course with profit, by the aid of a treatise now in preparation, which is intended as a sequel...
Page 38 - Since the dividend may be regarded as the product of two factors, one of which is the divisor, and the other the...
Page 59 - Most conversions involve the fundamental principle that the numerator and denominator of a fraction can be multiplied by the same number (in essence, multiplying the fraction by 1) without changing the value of the fraction.
Page 5 - The main object of this Treatise is to render the science of Algebra intelligible to pupils whose minds are yet unaccustomed to such studies. A Treatise on Algebra. By the Rev. B. Sestini, SJ, Author of "Elementary Algebra.